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106068487476 = 22372207957191
BaseRepresentation
bin110001011001000101…
…1001010110100110100
3101010210002120110002010
41202302023022310310
53214212013044401
6120421023444220
710443322160550
oct1426213126464
9333702513063
10106068487476
1140a8a994606
1218682156670
13a004b37733
1451c2dba860
152b5bd9eed6
hex18b22cad34

106068487476 has 48 divisors (see below), whose sum is σ = 282867056640. Its totient is φ = 30303379680.

The previous prime is 106068487429. The next prime is 106068487477. The reversal of 106068487476 is 674784860601.

It is a happy number.

It is a super-2 number, since 2×1060684874762 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106068487477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1826041 + ... + 1883231.

It is an arithmetic number, because the mean of its divisors is an integer number (5893063680).

Almost surely, 2106068487476 is an apocalyptic number.

It is an amenable number.

106068487476 is an abundant number, since it is smaller than the sum of its proper divisors (176798569164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106068487476 is a wasteful number, since it uses less digits than its factorization.

106068487476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79284 (or 79282 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 106068487476 in words is "one hundred six billion, sixty-eight million, four hundred eighty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 22079 44158 57191 66237 88316 114382 132474 154553 171573 228764 264948 309106 343146 400337 463659 618212 686292 800674 927318 1201011 1601348 1854636 2402022 4804044 1262720089 2525440178 3788160267 5050880356 7576320534 8839040623 15152641068 17678081246 26517121869 35356162492 53034243738 106068487476